BOSTON – Former state Sen. Anthony Galluccio was granted parole Thursday and will be released from prison after serving about half his sentence for a hit-and-run crash.

The Parole Board’s decision means that the Cambridge Democrat will be released from the Middlesex House of Correction in Billerica on July 14.

Galluccio was given a year in jail on Jan. 4 for violating the terms of his probation by failing a sobriety test.

Galluccio was originally sentenced to house arrest for an October 2009 hit-and-run crash in Cambridge. He was jailed after an electronic monitor indicated he had been drinking. Galluccio blamed the reading on ingredients in his toothpaste.

In a written decision, Parole Board member Cesar Archilla said Galluccio has participated in Alcoholics Anonymous classes and expresses remorse.